Question

Difference of LCM and HCF of two numbers is 8. Sum of their LCM and HCF is 24. If one
number is 8, find the other.​

Answer 1

Answer:

Other number=(LCM×HCF)/1st no.=(16×8)/8=16

Step-by-step explanation:

Let the L.C.M  be x

Let the H.C.F be y

x + y = 24

x - y = 8 [ L.C.M is always greater than or equal to H.C.F ]

Subtracting both we get :

2 y = 16

==> y = 16/2

==> y = 8

x + y = 24

==> x + 8 = 24

==> x = 24 - 8

==> x = 16

L.C.M = 16

H.C.F = 8

now, It is given one number is 8

Then, other number=(LCM×HCF)/1st no.=(16×8)/8=16